1. 2. Properties of Limits

2. Properties of limits

3. If Limits DNE
If limit for either function DNE, then limit laws can’t be applied

4. Example 1
Given that , find the limits that exist. If the limit doesn’t exist, explain why.

5. Example 2
Determine if the following limits exist. If they do, find the limit.

6. Trig Limits to memorize
Example 3 – with your calculator, evaluate b)

7. In general….
Memorize these!!
Example 4

8. We can now use these memorized limits in conjunction with limit properties
Example 5

9. Sandwich Theorem or Squeeze Theorem
Refers to a function f, that is sandwiched between the values of 2 other functions g and h.
If g and h have the same limit as
then f has that limit too.
In math notation, If

10. What it looks like…..

11. Example 6